Abstract
The lower bounds on communication complexity measures of language generation by Parallel Communicating Grammar Systems (PCGS) are investigated. The first result shows that there exists a language that can be generated by some dag-PCGS (PCGS with communication structures realizable by directed acyclic graphs) consisting of 3 grammars, but by no PCGS with tree communication structure. The second result shows that dag-PCGS have their communication complexity of language generation either constant or linear.KeywordsCommunication StructureDirected Acyclic GraphComplexity MeasureCommunication ComplexityGenerative CycleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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